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Finding the Fourth Proportional to 247, 370.32 and 110.11

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Solution

The fourth proportional to 247, 370.32 and 110.11 is: 165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 370.32 = 110.11 : x
  2. Step 2: Convert to fraction form
    247/370.32 = 110.11/x
  3. Step 3: Cross multiply
    247x = 370.32 × 110.11
  4. Step 4: Simplify right side
    247x = 40,775.94
  5. Step 5: Solve for x
    x = 40,775.94/247
  6. Step 6: Final answer
    x = 165.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.